Classes

# Second Year Math Differentiation

Change the way you learn with Maqsad's classes. Local examples, engaging animations, and instant video solutions keep you on your toes and make learning fun like never before!

Class 9Class 10First YearSecond Year

1. Apply the Maclaurin series expansion to prove that:(ii) \cos x=1-\frac{x^{2}}{2}+\frac{x^{4}}{4}-\frac{x^{6}}{16}+\ldots \ldots

$1. Apply the Maclaurin series expansion to prove that:(ii) \cos x=1-\frac{x^{2}}{2}+\frac{x^{4}}{4}-\frac{x^{6}}{16}+\ldots \ldots$

1. Find by definition the derivatives w.r.t x of the following functions defined as:\[\text { (xi) } x^{m} m \in N\]

1. Find by definition the derivatives w.r.t x of the following functions defined as:\[\text { (xi) } x^{m} m \in N\]

Find the derivative of \sqrt{x} at x=a from first principle

$Find the derivative of \sqrt{x} at x=a from first principle$

3. Find \frac{d y}{d x} if(iii) y=\tanh ^{-1}(\sin x) \frac{\pi}{2} x \frac{\pi}{2}

$3. Find \frac{d y}{d x} if(iii) y=\tanh ^{-1}(\sin x) \frac{\pi}{2} x \frac{\pi}{2}$

Example 3: Find \frac{d y}{d x} if y=\frac{\sqrt{a+x}+\sqrt{a-x}}{\sqrt{a+x}-\sqrt{a-x}} (x \neq 0)

$Example 3: Find \frac{d y}{d x} if y=\frac{\sqrt{a+x}+\sqrt{a-x}}{\sqrt{a+x}-\sqrt{a-x}} (x \neq 0)$